# calculus 1

posted by .

differentiate x(x-3)^2

do I product and chain rule?

• calculus 1 -

f= uv
f'=uv'+vu'

f'= 1*(x-3)^2+ 2x(x-3)*1

• calculus 1 -

shouldn't it be 1 * (x-3)^2 + 2x(x-3)^1 ? instead of 2x(x-3) * 1 at the end?

• calculus 1 -

oh wait nvm i see what i did wrong

• calculus 1 giyani high -

x(x-3)^2
=x(x-3)(x-3)
=x(x^2-3x-3x+9)
=x^3-6x^2+9x
=3x^2-12x+9

## Similar Questions

1. ### Math, Calculus

Find the derivative of the function. y= xcosx - sinx What's the derivative?
2. ### Calculus

How do I use the chain rule to find the derivative of square root(1-x^2) also, are there any general hints or tips for determining when the chain rule and product or quotient rule should be used?
3. ### Calculus

Differentiate using the chain rule: y=(x+(x+x^(1/2))^(1/2))^(1/2) y'=(1/2)(x+(x+x^(1/2))^(1/2))^-(1/2) what are the next steps?
4. ### calculus

derivative of f(x)=arctan(x^2-x) is it the product rule or the chain rule?
5. ### calculus

I have been asked to solve this two different ways. The first way is to use the chain rule and then simplify (which I have already done properly), and the second way is to simplify and then differentiate (not necessarily with the chain …
6. ### Calculus

Am I right so far? G(x)=e^x sqrt(1+x^2) =e^x(1+x^2)^1/2 =e^x(1/2)(1+x^2)^-1/2(2x) + e^x(1+x^2)^1/2 So I used product rule, chain rule, and exponential function with base e
7. ### Calculus

I'm having problems with this one. Can't get the right answer. Differentiate the following using the chain rule. f(x) = squareroot(x^2+1)/(3x+1) I know that I can take the whole thing and put it to the (1/2) and differentiate that …
8. ### calculus

Using the chain rule... how can i differentiate this?
9. ### Calculus

Match the rule with the title: ____ 3. d/dx [f(x)/g(x) ]=(g(x) f^' (x)-f(x) g^' (x))/[g(x)]^2 ____ 4. d/dx [f(g(x))]=f^' (g(x))∙g'(x) ____ 5. d/dx [f(x)∙g(x)]= f(x) g^' (x)+g(x) f^' (x) ____ 6.d/dx [x]=1 ____ 7. d/dx [f(x)+g(x)]= …
10. ### Math (Calculus)

Hello, Could somebody please help me with the following question?

More Similar Questions